2613216121344 has 720 divisors, whose sum is σ = 8286945226560. Its totient is φ = 820979712000.

The previous prime is 2613216121339. The next prime is 2613216121393. The reversal of 2613216121344 is 4431216123162.

2613216121344 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 2 + 1 + 612 + 1 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2613216121299 and 2613216121308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25873426894 + ... + 25873426994.

It is an arithmetic number, because the mean of its divisors is an integer number (11509646148).

Almost surely, 2^{2613216121344} is an apocalyptic number.

2613216121344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613216121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143472613280).

2613216121344 is an abundant number, since it is smaller than the sum of its proper divisors (5673729105216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2613216121344 is an frugal number, since it uses more digits than its factorization.

2613216121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 206 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 2613216121344 in words is "two trillion, six hundred thirteen billion, two hundred sixteen million, one hundred twenty-one thousand, three hundred forty-four".